12321013320648 has 24 divisors (see below), whose sum is σ = 33369411076950. Its totient is φ = 4107004440192.

The previous prime is 12321013320647. The next prime is 12321013320829. The reversal of 12321013320648 is 84602331012321.

12321013320648 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 1 + 0 + 1 + 3 + 3 + 2 + 0 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6298102198404 + 6022911122244 = 2509602^2 + 2454162^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12321013320647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85562592433 + ... + 85562592576.

Almost surely, 2^{12321013320648} is an apocalyptic number.

12321013320648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12321013320648 is an abundant number, since it is smaller than the sum of its proper divisors (21048397756302).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12321013320648 is a wasteful number, since it uses less digits than its factorization.

12321013320648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171125185021 (or 171125185014 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 12321013320648 its reverse (84602331012321), we get a palindrome (96923344332969).

The spelling of 12321013320648 in words is "twelve trillion, three hundred twenty-one billion, thirteen million, three hundred twenty thousand, six hundred forty-eight".